I know that the Watch Dogs is set in the city of Chicago, not Gotham, but I saw at some site the profile of Bruce Wayne with $20 billion dollars in his bank account in some random street in Watch Dogs.

So the question is: does Bruce Wayne really exist in Watch Dogs or this is a hoax?

No, no, no. Income != money in your bank account. That is his annual income; some of it goes to the IRS, some into banks and other investments (no body in their right mind would put that much into a bank - the FDIC only insures you for $100,000) but since he is Batman, the majority of it is extorted by his butler for hush money to keep his identity secret and the rest goes to insuring the bat mobile.
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Andon M. ColemanJun 21 '14 at 19:49

2 Answers
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There is a civilian profile for "Bruce, Wayne", but this is just an Easter egg. Neither the real Bruce Wayne nor Batman are actually in the game. It is just the game playing a joke on you, making it a hoax.